A force acting on a body may
A. Change its motion
B. Balance the other forces acting on it
C. Retard its motion
D. All of the above
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A force while acting on a body may
A. Change its motion
B. Balance the forces, already acting on it
C. Give rise to the internal stresses in it
D. All of these
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Mass moment of inertia of a thin rod about its one end is ___________ the mass moment of inertia of the same rod about its mid-point
A. Same as
B. Twice
C. Thrice
D. Four times
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According to Lami’s theorem
A. The three forces must be equal
B. The three forces must be at 120° to each other
C. The three forces must be in equilibrium
D. If the three forces acting at a point are in equilibrium, then each force is proportional to the sine of the angle between the other two
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According to principle of moments
A. If a system of coplanar forces is in equilibrium, then their algebraic sum is zero
B. If a system of coplanar forces is in equilibrium, then the algebraic sum of their moments about any point in their plane is zero
C. The algebraic sum of the moments of any two forces about any point is equal to moment of the resultant about the same point
D. Positive and negative couples can be balanced
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The velocity of a body on reaching the ground from a height h, is
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The force induced in the string AB due to the load W, as shown in the below figure is
A. W sinθ
B. W cosθ
C. W secθ
D. W cosecθ
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An ideal machine is one whose efficiency is
A. Between 60 and 70 %
B. Between 70 and 80%
C. Between 80 and 90%
D. 100%
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A heavy ladder resting on floor and against a vertical wall may not be in equilibrium, if
A. The floor is smooth, the wall is rough
B. The floor is rough, the wall is smooth
C. The floor and wall both are smooth surfaces
D. The floor and wall both are rough surfaces
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In the equation of virtual work, following force is neglected
A. Reaction of any smooth surface with which the body is in contact
B. Reaction of a rough surface of a body which rolls on it without slipping
C. Reaction at a point or an axis, fixed in space, around which a body is constrained to turn
D. All of the above
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The equivalent length of a simple pendulum which gives the same frequency as compound pendulum is
A. k G 2 + h 2 h
B. h k G 2 + h 2
C. k G 2 + h 2 h 2
D. h 2 k G 2 + h 2
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When the lift is moving upwards with some acceleration, the pressure exerted by a man is __________ to its acceleration.
A. Directly proportional
B. Inversely proportional
C. Cube root
D. None of these
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The force required to move the body up the plane will be minimum if it makes an angle with the inclined plane __________ the angle of friction.
A. Equal to
B. Less than
C. Greater than
D. None of these
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Angle of friction is the
A. Angle between normal reaction and the resultant of normal reaction and the limiting friction
B. Ratio of limiting friction and normal reaction
C. The ratio of minimum friction force to the friction force acting when the body is just about to move
D. The ratio of minimum friction force to friction force acting when the body is in motion
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If tension in the cable supporting a lift moving downwards is half the tension when it is moving upwards, the acceleration of the lift is
A. 2 g
B. 3 g
C. 4 g
D. None of these
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A particle moves along a straight line such that distance (x) traversed in 't' seconds is given by x = t2 (t - 4), the acceleration of the particle will be given by the equation
A. 6t2 - 8t
B. 3t2 + 2t
C. 6f - 8
D. 6f - 4
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When two elastic bodies collide with each other,
A. The two bodies will momentarily come to rest after collision
B. The two bodies tend to compress and deform at the surface of contact
C. The two bodies begin to regain their original shape
D. All of the above
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A number of forces acting at a point will be in equilibrium, if
A. All the forces are equally inclined
B. Sum of all the forces is zero
C. Sum of resolved parts in the vertical direction is zero (i.e. ∑V = 0)
D. None of these
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The moment of inertia of a square of side (a) about an axis through its center of gravity is
A. 4 a 4
B. 8 a 4
C. 12 a 4
D. 36 a 4
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The below figure shows the two equal forces at right angles acting at a point. The value of force ‘R’ acting along their bisector and in opposite direction is
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